Practice Mensuration Questions and Answers

• A gardener uses cylindrical roller of diameter 7 cm and length 28 cm to flatten a rectangular field of dimension 280cm × 165 cm. Find the number of r...
• The difference between the area of a circle and the area of the rectangle is 290.16 cm2. If the length of rectangle is 25% more and breadth is 10% less tha...
• Perimeter of square is 48 cm and length of a rectangle is equal to side of square and breadth of rectangle is 4 cm less than length of the rectangle. Find ...
• A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of ir...
• If the areas of three adjacent faces of a rectangular box which meet in a corner are 12cm2, 15cm2 and 20cm2 respectively. Then the volume of the box is ...
• The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour com...
• If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved s...
• A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
• A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If t...
• Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 1...
• The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Tak...
• A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 c...
• A rectangular water tank is 80 m x × 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise...
• A solid cylinder has the total surface area 231 sq.cm. If its curved surface area is of the total surface area, then the volume of the cylinder is
• The lateral surface area of frustum of a right circular cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant heigh...
• The diameter of a sphere is twice the diameter of another sphere, The surface area of the first sphere is equal to the volume of the second sphere, The mag...
• A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 ...
• A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
• From the top of a cliff 100 meter high, the angles of depression of the top and bottom of a tower are 45° and 60° respectively. The height of the tower i...
• Lateral surface area of a cube is 420 cm2   less than the lateral surface area of a cylinder. Height of cylinder is 2R cm and radius is R cm. If the s...
• The area of a square is 45 sq. cm more than the area of a rectangle of length 15 cm and breadth 12 cm. What will be the area of incircle of the square?
• The area of a square is 24 sq. cm more than the area of a rectangle of length 12 cm and breadth 10 cm. What will be the area of incircle of the square?
• The area of a square is 38 sq. cm more than the area of a rectangle of length 19 cm and breadth 17 cm. What will be the area of incircle of the square?
• ‘A’ invested Rs. 4680 for ‘x’ months while ‘B’ invested Rs. 780 less amount than ‘A’ for (x + 5) months. If...
• A and B together started a business with initial investment in the ratio of 3:5, respectively. The time-period of investment for A and B is in the ratio of...
• B invests 30% of his monthly salary on Travelling and 20% of remaining on Food. Again, he invested 25% of the remaining (after travelling and food expenses...
• A man distributes 10%, 18% and 22% of his salary into his three children who spend 40%, 60% and 25% of that amount respectively. The difference between the...
• Mohini's Biology test had 250 questions i.e. 20 Macromolecules, 60 Homeostasis and 70 Immunology questions. Although she answered 70% of the Macromolecules...
• A salesman’s terms were changed from a flat commission of 9% on all his sales to a fixed salary of Rs. 4000 plus 4% commission on all sales exceeding...
• In a class of 50 students and 20 teachers, each student got gifts that were 24% of total number of students and each teacher got gifts that were 16% of tot...
• The length of a rectangle, area of which is 105 cm2, is equal to the radius of a circle of area 1386 cm2. Find the perimeter of the rectangle?...
• In a zoo, 30% of the people are males. 50% of the remaining are females and the remaining 630 are children. Find the total number of people in a zoo.
• The length of a rectangle, area of which is 168 cm2, is equal to the radius of a circle of area 616 cm2. Find the perimeter of the rectangle?...
• A, B and C enter into a partnership, A invest 2X + 5000, B invest X + 15000 and C invest 5X + 2000 for one year if B share is 10000 from total profit of 20...
• The length of a rectangle, area of which is 315 cm2, is equal to the radius of a circle of area 3850 cm2. Find the perimeter of the rectangle?...
• The ratio of the breadth to the length of a rectangular field is 2:3. The total cost of cutting the grass of the field at the rate of Rs 6 per m2 is Rs. 19...
• The ratio of the breadth to the length of a rectangular field is 3:4. The total cost of cutting the grass of the field at the rate of Rs 12 per m2 is Rs. 2...
• The ratio of the breadth to the length of a rectangular field is 3:4. The total cost of cutting the grass of the field at the rate of Rs 12 per m2 is Rs. 3...
• If the area of square is 441 cm²  and the breadth of rectangle is 20% more and the length is 50% more than the side of the square, then find the the area...
• If the area of square is 225 cmsup2; and the breadth of rectangle is 20% more and the length is 30% more than the side of the square, then find the the are...